diff --git a/examples/scenes/src/test_scenes.rs b/examples/scenes/src/test_scenes.rs
index ab3ee1e..d66be10 100644
--- a/examples/scenes/src/test_scenes.rs
+++ b/examples/scenes/src/test_scenes.rs
@@ -51,6 +51,7 @@ pub fn test_scenes() -> SceneSet {
         scene!(conflation_artifacts),
         scene!(labyrinth),
         scene!(base_color_test: animated),
+        scene!(clip_test: animated),
     ];
 
     SceneSet { scenes }
@@ -824,6 +825,96 @@ fn base_color_test(sb: &mut SceneBuilder, params: &mut SceneParams) {
     );
 }
 
+fn clip_test(sb: &mut SceneBuilder, params: &mut SceneParams) {
+    let clip = {
+        const X0: f64 = 50.0;
+        const Y0: f64 = 0.0;
+        const X1: f64 = 200.0;
+        const Y1: f64 = 500.0;
+        [
+            PathEl::MoveTo((X0, Y0).into()),
+            PathEl::LineTo((X1, Y0).into()),
+            PathEl::LineTo((X1, Y0 + (Y1 - Y0)).into()),
+            PathEl::LineTo((X1 + (X0 - X1), Y1).into()),
+            PathEl::LineTo((X0, Y1).into()),
+            PathEl::ClosePath,
+        ]
+    };
+    sb.push_layer(Mix::Clip, 1.0, Affine::IDENTITY, &clip);
+    {
+        let text_size = 60.0 + 40.0 * (params.time as f32).sin();
+        let s = "Some clipped text!";
+        params.text.add(
+            sb,
+            None,
+            text_size,
+            None,
+            Affine::translate((110.0, 100.0)),
+            s,
+        );
+    }
+    sb.pop_layer();
+
+    let large_background_rect = kurbo::Rect::new(-1000.0, -1000.0, 2000.0, 2000.0);
+    let inside_clip_rect = kurbo::Rect::new(11.0, 13.399999999999999, 59.0, 56.6);
+    let outside_clip_rect = kurbo::Rect::new(
+        12.599999999999998,
+        12.599999999999998,
+        57.400000000000006,
+        57.400000000000006,
+    );
+    let clip_rect = kurbo::Rect::new(0.0, 0.0, 74.4, 339.20000000000005);
+    let scale = 2.0;
+
+    sb.push_layer(
+        BlendMode {
+            mix: peniko::Mix::Normal,
+            compose: peniko::Compose::SrcOver,
+        },
+        1.0,
+        Affine::new([scale, 0.0, 0.0, scale, 27.07470703125, 176.40660533027858]),
+        &clip_rect,
+    );
+
+    sb.fill(
+        peniko::Fill::NonZero,
+        kurbo::Affine::new([scale, 0.0, 0.0, scale, 27.07470703125, 176.40660533027858]),
+        peniko::Color::rgb8(0, 0, 255),
+        None,
+        &large_background_rect,
+    );
+    sb.fill(
+        peniko::Fill::NonZero,
+        kurbo::Affine::new([
+            scale,
+            0.0,
+            0.0,
+            scale,
+            29.027636718750003,
+            182.9755506427786,
+        ]),
+        peniko::Color::rgb8(0, 255, 0),
+        None,
+        &inside_clip_rect,
+    );
+    sb.fill(
+        peniko::Fill::NonZero,
+        kurbo::Affine::new([
+            scale,
+            0.0,
+            0.0,
+            scale,
+            29.027636718750003,
+            scale * 559.3583631427786,
+        ]),
+        peniko::Color::rgb8(255, 0, 0),
+        None,
+        &outside_clip_rect,
+    );
+
+    sb.pop_layer();
+}
+
 fn around_center(xform: Affine, center: Point) -> Affine {
     Affine::translate(center.to_vec2()) * xform * Affine::translate(-center.to_vec2())
 }
diff --git a/shader/binning.wgsl b/shader/binning.wgsl
index 2672bb8..c46026d 100644
--- a/shader/binning.wgsl
+++ b/shader/binning.wgsl
@@ -86,15 +86,20 @@ fn main(
 
         let path_bbox = path_bbox_buf[draw_monoid.path_ix];
         let pb = vec4<f32>(vec4(path_bbox.x0, path_bbox.y0, path_bbox.x1, path_bbox.y1));
-        let bbox_raw = bbox_intersect(clip_bbox, pb);
-        // TODO(naga): clunky expression a workaround for broken lhs swizzle
-        let bbox = vec4(bbox_raw.xy, max(bbox_raw.xy, bbox_raw.zw));
+        let bbox = bbox_intersect(clip_bbox, pb);
 
         intersected_bbox[element_ix] = bbox;
-        x0 = i32(floor(bbox.x * SX));
-        y0 = i32(floor(bbox.y * SY));
-        x1 = i32(ceil(bbox.z * SX));
-        y1 = i32(ceil(bbox.w * SY));
+
+        // `bbox_intersect` can result in a zero or negative area intersection if the path bbox lies
+        // outside the clip bbox. If that is the case, Don't round up the bottom-right corner of the
+        // and leave the coordinates at 0. This way the path will get clipped out and won't get
+        // assigned to a bin.
+        if bbox.x < bbox.z && bbox.y < bbox.w {
+            x0 = i32(floor(bbox.x * SX));
+            y0 = i32(floor(bbox.y * SY));
+            x1 = i32(ceil(bbox.z * SX));
+            y1 = i32(ceil(bbox.w * SY));
+        }
     }
     let width_in_bins = i32((config.width_in_tiles + N_TILE_X - 1u) / N_TILE_X);
     let height_in_bins = i32((config.height_in_tiles + N_TILE_Y - 1u) / N_TILE_Y);
diff --git a/shader/tile_alloc.wgsl b/shader/tile_alloc.wgsl
index 8ec9217..1f7a4bc 100644
--- a/shader/tile_alloc.wgsl
+++ b/shader/tile_alloc.wgsl
@@ -68,10 +68,15 @@ fn main(
     var y1 = 0;
     if drawtag != DRAWTAG_NOP && drawtag != DRAWTAG_END_CLIP {
         let bbox = draw_bboxes[drawobj_ix];
-        x0 = i32(floor(bbox.x * SX));
-        y0 = i32(floor(bbox.y * SY));
-        x1 = i32(ceil(bbox.z * SX));
-        y1 = i32(ceil(bbox.w * SY));
+
+        // Don't round up the bottom-right corner of the bbox if the area is zero and leave the
+        // coordinates at 0. This will make `tile_count` zero as the shape is clipped out.
+        if bbox.x < bbox.z && bbox.y < bbox.w {
+            x0 = i32(floor(bbox.x * SX));
+            y0 = i32(floor(bbox.y * SY));
+            x1 = i32(ceil(bbox.z * SX));
+            y1 = i32(ceil(bbox.w * SY));
+        }
     }
     let ux0 = u32(clamp(x0, 0, i32(config.width_in_tiles)));
     let uy0 = u32(clamp(y0, 0, i32(config.height_in_tiles)));